Find f'(a). 1. f(x) =

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

A:

Q: Find a function with derivative equal to g(x) = cos(x)e³sin(x)

A: To find a function with derivative equal to gx=cosx e5 sinx

Q: Find the derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

A: Given query is to find the derivative of the function.

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: How to solve for the derivative of Dy[tan(y)+1/tan(y)-1]? If it's 0, why?

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Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: Find the 3rd derivative of the function y=xsinx

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Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: ind the derivative of f(x) = 2x/√x+1

A: Explanation:Given that  f(x)=2xx+1     Formula Used:fg'=f'g-fg'g2

Q: Find the 3rd derivative of the function y=excosx.

A:

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: Find the second derivative of the function.

A: Given: fx=x cosx Now to find the derivative of the given function, Differentiate given function with…

Q: Find the derivative of f(x) = ln∣cos x∣.

A:

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: 2) Find nth derivative of the following function f(x) = ex

A: Given query is to find the nth derivative of the expression.

Q: Find the derivative of the function. rlx) = [in[x*}}°

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Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: 8. Find the derivative of the function. y= In(1+x)

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: sinx 3. f(x)=(x)*

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Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) %3D f (x) =

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Q: Find the first derivative of the function of f(x) using any method?

A: Given,

Q: 7. Find the nth derivative of y = 1//x.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: what is the derivative of f(x)=ln(tanhx)

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Q: 2 Find the derivative of y = arctan(x´ + 3)

A: We have to find the derivative of the given function.

Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the formula for -…

A: Consider the function  g(x)=tan−1x3

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)

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Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: Find the 2nd derivative of the given function fCt) = t² Int

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Q: 10 The derivative of f(x)= - is

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Q: nd derivative of f(x) = x In(x)

A: We have to find the second derivative of the given function

Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

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Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: find the derivative of the fuction f(x)= 5sinx/3x+cosx

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Q: Find the derivative. f(x) = eX cosh(x) f'(x) =

A: First use relationship between hyperbolic function and exponential function convert coshx in…

Q: What is the 2nd derivative of y=cosh(x+y)?

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Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)

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Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x